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Finding the Fourth Proportional to 8,385.57, 11,567.97 and 5,866.74

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Solution

The fourth proportional to 8,385.57, 11,567.97 and 5,866.74 is: 8,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.57 : 11,567.97 = 5,866.74 : x
  2. Step 2: Convert to fraction form
    8,385.57/11,567.97 = 5,866.74/x
  3. Step 3: Cross multiply
    8,385.57x = 11,567.97 × 5,866.74
  4. Step 4: Simplify right side
    8,385.57x = 67,866,272.32
  5. Step 5: Solve for x
    x = 67,866,272.32/8,385.57
  6. Step 6: Final answer
    x = 8,093.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.